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Finding the Fourth Proportional to 500.15, 688.76 and 498.63

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Solution

The fourth proportional to 500.15, 688.76 and 498.63 is: 686.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.15 : 688.76 = 498.63 : x
  2. Step 2: Convert to fraction form
    500.15/688.76 = 498.63/x
  3. Step 3: Cross multiply
    500.15x = 688.76 × 498.63
  4. Step 4: Simplify right side
    500.15x = 343,433.19
  5. Step 5: Solve for x
    x = 343,433.19/500.15
  6. Step 6: Final answer
    x = 686.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.